Student Commutative Algebra Seminar

Determinantal ideals are an important class of ideals that appear throughout commutative algebra, algebraic geometry, and representation theory. Eagon-Northcott complexes provide a way to study certain kinds of determinantal ideals (those generated by maximal minors). After reviewing Koszul complexes, we will introduce Eagon-Northcott complexes and their basic properties. We will see how Eagon-Northcott complexes generalize Koszul complexes and, if time permits, how we can apply them to study some examples in algebraic geometry, such as finite sets of points in the projective plane and rational normal curves. Speaker(s): Teresa Yu (UM)